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A054393 Number of permutations with certain forbidden subsequences. 3
1, 1, 2, 5, 14, 42, 132, 428, 1417, 4757, 16119, 54963, 188219, 646460, 2224944, 7668915, 26461005, 91371594, 315689675, 1091166442, 3772747245, 13047503222, 45131078409, 156129312025, 540181837728, 1869097588540, 6467740095295 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

REFERENCES

E. Barcucci et al., From Motzkin to Catalan Permutations, Discr. Math., 217 (2000), 33-49.

LINKS

J. W. Layman, The Hankel Transform and Some of its Properties, J. Integer Sequences, 4 (2001), #01.1.5.

CROSSREFS

Interpolates between Motzkin numbers (A001006) and Catalan numbers (A000108). Cf. A005773, A054391-A054394.

Sequence in context: A148329 A024175 A152226 * A036768 A058094 A080938

Adjacent sequences:  A054390 A054391 A054392 * A054394 A054395 A054396

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Elisa Pergola (elisa(AT)dsi.unifi.it), May 21 2000

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Last modified February 15 10:06 EST 2012. Contains 205763 sequences.